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What is the change in entropy for a system going from 315 possible microstates to 841 possible microstates? (k = 1.381 × 10-23 J/K)
Expert Answer
Answer
S= Kln(W), S= entropy W= possible microstates, K= Boltzman constant = 1.381*10-23 J/K
for 315 possible microstates, S1= 1.381*10-23*ln(315)=7.535*10-23 J/K
for 841 possible microstates, S2 = 1.381*10-23* ln(841)= 8.82*10-23 J/K
change in entropy = S2-S1= (8.82-7.535)*10-23 = 1.285*10-23 J/K
